Question: A mass on a spring vibrates horizontally on a smooth, level surface as shown in the figure. Its equation of motion is x(t) =

A mass on a spring vibrates horizontally on a smooth, level surface

A mass on a spring vibrates horizontally on a smooth, level surface as shown in the figure. Its equation of motion is x(t) = 8 sin(t), where t is measured in seconds and x in centimeters. Equilibrium position 0 X (a) Find the velocity and acceleration at time t v(t)= a(t)= (b) Find the position, velocity, and acceleration of the mass at time t=2x/3. - In what direction is the mass moving at that time?

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